its called fear the wolves and is made by the team that bought you stalker ,basically you drop in by helicopter, but not only do you have the opponents to contend with , your hounded by packs of wolves , bit like the film the grey, and the object as the radiation closes in is to get rescued by climbing a rope up to the helo.
its currently Price: £15.48 on kinguin

FPS: Warframe maybe.
MMO: Black desert online, FFxiv, I suppose you should put Wow in, gw2.
Action adventure / rpg: MGS:V
PoE in action rpg/MMO. It is the best diablo type game out there and its free. Same genre, torchlight 1 / 2. Single player only though.
And LoL unfortunately. If you've got dota you kind got to have it in too imho. It is the favourite for most in the moba genre.